Search a number
-
+
97029253 is a prime number
BaseRepresentation
bin1011100100010…
…00110010000101
320202120121010001
411302020302011
5144314414003
613343401301
72255510056
oct562106205
9222517101
1097029253
114a852572
12285b3231
1317143579
14cc5a72d
1587b961d
hex5c88c85

97029253 has 2 divisors, whose sum is σ = 97029254. Its totient is φ = 97029252.

The previous prime is 97029227. The next prime is 97029259. The reversal of 97029253 is 35292079.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51236964 + 45792289 = 7158^2 + 6767^2 .

It is an emirp because it is prime and its reverse (35292079) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-97029253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97029259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48514626 + 48514627.

It is an arithmetic number, because the mean of its divisors is an integer number (48514627).

Almost surely, 297029253 is an apocalyptic number.

It is an amenable number.

97029253 is a deficient number, since it is larger than the sum of its proper divisors (1).

97029253 is an equidigital number, since it uses as much as digits as its factorization.

97029253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 97029253 is about 9850.3427859136. The cubic root of 97029253 is about 459.5162731643.

The spelling of 97029253 in words is "ninety-seven million, twenty-nine thousand, two hundred fifty-three".